16a4b834Solution16a4b834 24a4b834 since 16 24 2434 a434

(16a^4b^8)^3/4

(16a⁴b⁸)^3/4

==> (2⁴a⁴b⁸)^3/4 ; since 16 = 2⁴

==> (2⁴)^3/4 (a⁴)^3/4 (b⁸)^3/4 ; since (abc)^m = a^m b^m c^m

==> 2^4(3/4) a^4(3/4) b⁸^(3/4) ; since (a^m)ⁿ = a^mn

==> 2³ a³ b²⁽³⁾

==> 8 a³ b⁶

==> (16a⁴b⁸)^3/4 = 8 a³ b⁶

(16a^4b^8)^3/4Solution(16a4b8)3/4 ==> (24a4b8)3/4 ; since 16 = 24 ==> (24)3/4 (a4)3/4 (b8)3/4 ; since (abc)m = am bm cm ==> 24(3/4) a4(3/4) b8(3/4) ;

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